1986 JAMB UTME Mathematics Past Questions

1986

If \(\frac{a}{c}\) = \(\frac{c}{d}\) = k, find the value of \(\frac{3a^2 - ac + c^2}{3b^2 - bd + d^2}\)

1986

Find the values of x which satisfy the equation 16x - 5 x 4x + 4 = 0

1986

make U the subject of the formula S = \(\sqrt{\frac{6}{u} - \frac{w}{2}}\)

1986

Simplify \(\frac{1}{x - 2}\) + \(\frac{1}{x + 2}\) + \(\frac{2x}{x^2 - 4}\)

1986

If 5(x + 2y) = 5 and 4(x + 3y) = 16, find 3(x + y)

1986

Factorize (4a + 3)2 - (3a - 2)2

1986

Simplify \(\frac{1}{5x + 5}\) + \(\frac{1}{7x+ 7}\)

1986

Solve the equation 3x2 + 6x - 2 = 0

1986

Factorize x2 + 2a + ax + 2x

1986

Find all real numbers x which satisfy the inequality \(\frac{1}{3}\)(x + 1) - 1 > \(\frac{1}{5}\)(x + 4)

1986

If y = \(\frac{x}{x - 3}\) + \(\frac{x}{x + 4}\) find y when x = -2

1986

Factorize completely 8a + 125ax3

1986

If x varies directly as y3 and x = 2 when y = 1, find x when y = 5

1986

Simplify \(\frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{3}}}{3^{-\frac{1}{6}} \times 3^{\frac{2}{3}}}\)

1986

Find n if log24 + log27 - log2n = 1

1986

Simplify (\(\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{1}{\sqrt{5} - \sqrt{3}}\) x \(\frac{1}{\sqrt{3}}\))

1986

In 1984, Ike was 24 yrs old and his father was 45 yrs old. In what year was Ike exactly half his father's age?

1986

The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y.

1986

Udoh deposited ₦150.00 in the bank. At the end of 5 years the simple interest on the principal was ₦55.00. At what rate per annum was the interest paid?

1986 JAMB UTME Mathematics Past Questions

If \(\frac{a}{c}\) = \(\frac{c}{d}\) = k, find the value of \(\frac{3a^2 - ac + c^2}{3b^2 - bd + d^2}\)

Find the values of x which satisfy the equation 16x - 5 x 4x + 4 = 0

make U the subject of the formula S = \(\sqrt{\frac{6}{u} - \frac{w}{2}}\)

Simplify \(\frac{1}{x - 2}\) + \(\frac{1}{x + 2}\) + \(\frac{2x}{x^2 - 4}\)

If 5(x + 2y) = 5 and 4(x + 3y) = 16, find 3(x + y)

Factorize (4a + 3)2 - (3a - 2)2

Simplify \(\frac{1}{5x + 5}\) + \(\frac{1}{7x+ 7}\)

Solve the equation 3x2 + 6x - 2 = 0

Factorize x2 + 2a + ax + 2x

Find all real numbers x which satisfy the inequality \(\frac{1}{3}\)(x + 1) - 1 &gt; \(\frac{1}{5}\)(x + 4)

If y = \(\frac{x}{x - 3}\) + \(\frac{x}{x + 4}\) find y when x = -2

Factorize completely 8a + 125ax3

If x varies directly as y3 and x = 2 when y = 1, find x when y = 5

Simplify \(\frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{3}}}{3^{-\frac{1}{6}} \times 3^{\frac{2}{3}}}\)

Find n if log24 + log27 - log2n = 1

Simplify (\(\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{1}{\sqrt{5} - \sqrt{3}}\) x \(\frac{1}{\sqrt{3}}\))

In 1984, Ike was 24 yrs old and his father was 45 yrs old. In what year was Ike exactly half his father's age?

The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x &gt; y.

Udoh deposited ₦150.00 in the bank. At the end of 5 years the simple interest on the principal was ₦55.00. At what rate per annum was the interest paid?

Simplify \(\frac{0.0324 \times 0.00064}{0.48 \times 0.012}\)

Find all real numbers x which satisfy the inequality \(\frac{1}{3}\)(x + 1) - 1 > \(\frac{1}{5}\)(x + 4)

The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y.